A Note on Noncommutative Interpolation

Author:

Constantinescu T.,Johnson J. L.

Abstract

AbstractIn this paper we formulate and solve Nevanlinna-Pick and Carathéodory type problems for tensor algebras with data given on the N-dimensional operator unit ball of a Hilbert space. We develop an approach based on the displacement structure theory.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Comparing Two Generalized Noncommutative Nevanlinna–Pick Theorems;Complex Analysis and Operator Theory;2016-02-23

2. Gleason's problem and Schur multipliers in the multivariable quaternionic setting;Journal of Mathematical Analysis and Applications;2015-05

3. Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey;Mathematical Methods in Systems, Optimization, and Control;2012

4. Non-Commutative Carathéodory Interpolation;Integral Equations and Operator Theory;2010-10-22

5. Multivariable Operator-valued Nevanlinna-Pick Interpolation: a Survey;Operator Algebras, Operator Theory and Applications;2009

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